Lebesgue constant (interpolation)

（重定向自Lebesgue function）

In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial approximation of the function (the degree of the polynomials are obviously fixed). The Lebesgue constant for polynomials of degree at most $n$ and for the set of $n + 1$ nodes $T$ is generally denoted by $Λ n (T)$ . These constants are named after Henri Lebesgue.

单词	Lebesgue function
释义	Lebesgue function 英语百科 Lebesgue constant (interpolation) （重定向自Lebesgue function） In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial approximation of the function (the degree of the polynomials are obviously fixed). The Lebesgue constant for polynomials of degree at most $n$ and for the set of $n + 1$ nodes $T$ is generally denoted by $Λ n (T)$ . These constants are named after Henri Lebesgue.
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